JOURNAL OF GEOMETRY AND PHYSICS, cilt.175, 2022 (SCI-Expanded)
In this paper, we define a dual transformation between hyper-dual orthogonal matrices and hyper-dual semi-orthogonal matrices. We show that the dual transformation leaves invariant the axes (dual lines). Thus, for the first time, we have extended the dual transformation defined by Dohi et al. to hyper-dual matrices. (C)& nbsp;2022 Elsevier B.V. All rights reserved.